<p n="3">
<s id="A010020101">It is also asked why the large balances are more accurate and of more precision than the small balances.</s>
<s id="A010020102">The principle of the answer regarding this cause is to ask why, in the case of a line that departs from the center of a circle and is long, and therefore the distance of its end from the center is a greater distance, the motion of its end is faster when both ends are moved by the same force.</s>
<s id="A010020103">The faster of two mobiles is the one that travels over a greater distance in the same time.</s>
<s id="A010020104">And the farther from the center travels over a greater distance along its circumference, and the nearer a smaller distance.</s>
<s id="A010020105">It is evident from this reasoning that the suspension of the balance is a center, since it is fixed, and because the two sides of the beam, which are on either side of the suspension, stand for the lines departing from the center.</s>
<s id="A010020106">If the beam is longer, the motion of its end, as it is caused by the same weight, will be stronger than the motion it would have if it were shorter.</s>
<s id="A010020107">Hence, when some weights are put on small balances, they do not produce any inclination toward their side, because of their smallness and the shortness of the beam.</s>
<s id="A010020108">But if they are put on a large balance, an evident inclination results, because of the length of the needle and of the beam.</s>
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